Finite Group Databasebeta

← Group #72263060

Character table — Group #72263060

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111222222448888888888888161616161616161616161616161616161616323232323232323232323264646464
order1222222222222222244444444222224444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1-1
χ4111111111111111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111
χ511111111111111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11-1-1111111111-1-1-1-1
χ611111111111111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11-1-11-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1111-1-1-11111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1111-1-1-1-1-1-1-1111111-1-1
χ91111111111-1-111-1-1-111111111-1-111-1111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−ii−ii−i
χ101111111111-1-111-1-1-111111111-1-111-1111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii−ii−ii
χ111111111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111ii−i−i−i−iiii−i−ii
χ121111111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111−i−iiiii−i−i−iii−i
χ131111111111-1-111-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-111-11-1-1ii−i−iii−i−i−ii−ii
χ141111111111-1-111-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-111-11-1-1−i−iii−i−iiii−ii−i
χ151111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1-11-11ii−i−i−i−iii−iii−i
χ161111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1-11-11−i−iiiii−i−ii−i−ii
χ1722222222222222222000022220000-2-2-200-2-2002200-200-2000000000000
χ18222222222222222220000-2-2-2-20000-2-2-2002200-2-200-2002000000000000
χ19222222222222-2-22-2-2000000000022-22-2-2-200-2-200222000000000000000
χ20222222222222-2-22-2-20000000000-2-2-22-222002200-2-22000000000000000
χ21222222222222-2-22-2-22222000022002-220000000000-2-2-20000000000000
χ22222222222222-2-22-2-2-2-2-2-20000-2-2002-220000000000-2220000000000000
χ232222222222-2-222-2-2-20000222200002-2-200-2-200-2-2002002000000000000
χ242222222222-2-222-2-2-20000-2-2-2-200002-2-20022002200200-2000000000000
χ252222222222-2-2-2-2-22200000000002222-2-2-2002200-2-2-2000000000000000
χ262222222222-2-2-2-2-2220000000000-2-222-22200-2-20022-2000000000000000
χ272222222222-2-2-2-2-22222220000-2-200-2-22000000000022-20000000000000
χ282222222222-2-2-2-2-222-2-2-2-200002200-2-2200000000002-220000000000000
χ2944444-4-4-4-444400-400000000000000000000000000000002-22-200000000
χ3044444-4-4-4-444400-40000000000000000000000000000000-22-2200000000
χ3144444-4-4-4-44-4-400400000000000000000000000000000002i−2i−2i2i00000000
χ3244444-4-4-4-44-4-40040000000000000000000000000000000−2i2i2i−2i00000000
χ334444-444-4-4-4004-4000000000000000000004i−4i0000000000000000000000
χ344444-444-4-4-4004-400000000000000000000−4i4i0000000000000000000000
χ354444-444-4-4-400-4400000004i4i−4i−4i000000000000000000000000000000000
χ364444-444-4-4-400-440000000−4i−4i4i4i000000000000000000000000000000000
χ374444-4-4-444-4000004-40000000000000000000000000000000002i−2i2i−2i0000
χ384444-4-4-444-4000004-4000000000000000000000000000000000−2i2i−2i2i0000
χ394444-4-4-444-400000-440000000000000000000000000000000002-2-220000
χ404444-4-4-444-400000-44000000000000000000000000000000000-222-20000
χ4144-4-4-4000044-40000022-2-22-22-22-2000002-2002-22-2000000000000000000
χ4244-4-4-4000044-40000022-2-2-22-222-200000-2200-22-22000000000000000000
χ4344-4-4-4000044-400000-2-2222-22-2-2200000-2200-222-2000000000000000000
χ4444-4-4-4000044-400000-2-222-22-22-22000002-2002-2-22000000000000000000
χ4544-4-4-400004-440000022-2-22-22-2-22000002-200-22-22000000000000000000
χ4644-4-4-400004-440000022-2-2-22-22-2200000-22002-22-2000000000000000000
χ4744-4-4-400004-4400000-2-2222-22-22-200000-22002-2-22000000000000000000
χ4844-4-4-400004-4400000-2-222-22-222-2000002-200-222-2000000000000000000
χ4988-8-880000-8000000000004i−4i−4i4i000000000000000000000000000000000
χ5088-8-880000-800000000000−4i4i4i−4i000000000000000000000000000000000
χ518-88-80008-80000000000000000004-400000000000000000000000000000
χ528-88-80008-8000000000000000000-4400000000000000000000000000000
χ538-88-8000-88000000004-44-40000000000000000000000000000000000000
χ548-88-8000-8800000000-44-440000000000000000000000000000000000000
χ558-8-8808-80000000000000000000000000000000004-40000000000000000
χ568-8-8808-8000000000000000000000000000000000-440000000000000000
χ578-8-880-8800000000004-4-440000000000000000000000000000000000000
χ588-8-880-880000000000-444-40000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).